April 24, 2012 06:45 PM

Courtesy Lisa Stelly

The Osbourne family’s newest addition has finally arrived!

Jack Osbourne and his fiancée, Lisa Stelly, welcomed daughter Pearl Clementine on Tuesday, April 24, his rep confirms to PEOPLE.

Baby girl weighed in at 8 lbs., 6 oz. and is 22 inches long.

After announcing they were expecting their first child less than two weeks after confirming their engagement, Osbourne, 26, admitted he was “excited [and] a little nervous” about becoming a father.

But he wasn’t the only one; Mom Sharon Osbourne was very vocal about her intentions of indulging her first grandchild once she made her debut.

“I’m going to be the grandmother from hell because I am going to spoil this baby so bad,” she said. “My son and Lisa are going to be like, ‘Get her out of here!'”

“Today I witnessed my first grandchild being born, life changing experience,” the proud grandma Tweeted Tuesday evening. “She is an angel.”

Stelly’s due date had been April 18.

— Anya Leon with reporting by Marisa Laudadio

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